the triangles show below are simlar. which line segment corresponds to RSA: RT B: TS C: OS D: UT

From the triangle, let's determine the line segments that corresponds to line RS.
Line TU is the mid line segment of the given triangle QRS.
A mid line segment of a triangle can be siad to connect the midpoints of two sides of a traingle.
Thus, T is the midpoint of RS, while U is the midpoint of QS.
Given that traingle UTS is similar to triangle QRS, we have the correponding sides:
• RS correpsonds to QS
,• QR corresponds to UT
,• US corresponds to TS
,• RT corresponds to QU
From the list above, the side that corresponds to RS is QS
ANSWER:
C. QS